A New Three-parameter Xgamma Fréchet Distribution with Different Methods of Estimation and Applications | [Pakistan Journal of Statistics and Operation Research • 2021]

Author(s):

1. Mohamed Ibrahim: Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University,Damietta,Egypt

2. Laba Handique: Department of Statistics, Dibrugarh University,Assam,India

3. Subrata Chakraborty: Department of Statistics, Dibrugarh University,Assam,India

4. Nadeem Shafique Butt: Department of Family and Community Medicine King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia.

5. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University,Egypt

Abstract:

In this article an attempt is made to introduce a new extension of the Fréchet model called the Xgamma Fréchet model. Some of its properties are derived. The estimation of the parameters via different estimation methods are discussed. The performances of the proposed estimation methods are investigated through simulations as well as real life data sets. The potentiality of the proposed model is established through modelling of two real life data sets. The results have shown clear preference for the proposed model compared to several know competing ones.

Page(s): 291-308

DOI: 10.18187/pjsor.v17i1.2887

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 1, Year: 2021

Keywords:

Simulations , CramerVonMises , Fréchet Model , Xgamma Model , Maximum Product , Least Squares

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